2-4х3 3. lim х--0- 5x2+3x3

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(2x) lim x→0 tan(7x)

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Q: s (e² + 4 cos 8z dz 1+sin 8z,

A: A detailed solution is given below

Q: Find the area A of the sector shown in each figure. (a) 80° A =

A: Given query is to find the area of the sector.

Q: that you are using. Σ n=1 n/2+1 •a.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Approximate the change in the volume of a sphere when its radius changes from r = 50 ft to r 50.05…

A: Given,           The radius of the sphere changes from r=50 ft to r=50.05 ft.To find : Approximate…

Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

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Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

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Q: Find all the complex roots. Write the answer in exponential form.   The complex fourth roots of…

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Q: 2(2x? + у?)dx — ху dy %3D 0

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Q: Find the solutions graphically. 2x- 3x2 - 23x+ 12=0 ... The solutions are| (Type an integer or a…

A: The given equation,      2x3-3x2-23x+12=0 Note:    Multiple questions are given, we are answer with…

Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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Q: Determine the indefinite integral| V1-x² dx. Check the answer by differentiation.

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Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

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Q: f. lim f(x) if f(x) = |x² – - 2 if x > -1 1/x g. lim f(x) if f(x) : if x -1 x +3 if x 1

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Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 10 8x + 7 dx

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Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the…

A: Use integration for finding the area under the given interval.

Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

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Q: A particle is moving along the x-axis. The position of the particle at time t is given by x(t) = t3…

A: We have to use given formula to solve the problem

Q: tunction. a) b) 6- 4- y = f(x) -6 -4 -2 4 6 -2- -4- 2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (a)the curl and (b)the divergence of the vector field. F(x,y,z)= ln(2y+3z)i+ln(x+3z)j+ln(x+2y)k

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Q: Determine whether Rolle's Theorem applies to the following function on the given interval. If so,…

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Q: sin 3x 22. Integrate: JS dx V25-cos² 3x A. -sin-1 (os*) + C 'cos3x' (cos 3x` C. -sin *) + C 15 B.…

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Q: xvx – 1 dx. | 1

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Q: Divide. (-20x + 8x+ 5x* – 4– 3x) + (-5x - 3) Remainder Write your answer in the following form:…

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Q: Four towns wish to build a radio station. Suppose that the towns are located at (0, 0), (8,0), (0,…

A: Station is located at the point ( a,b)

Q: A stone is dropped from the upper observation deck of a tower, 750 m above the ground. (Assume g =…

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Q: Suppose the graph y f(x) lies entirely above the a-axis. Which of the following gives the %3D…

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Q: Find the area of the region bounded by the following curves. y  =  x2 + 4x,     y  =  160 − x2

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: 4- -3 -2- -4+ Use the graph to find the following. If there is more than one answer, separate them…

A: Given query is to find the value of local maximum and at what value of x it's maximum.

Q: Type exact answer only. No other unnecessary symbols or words. Write DNE if your think the limit…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: What is the derivative of f(x) = %3D (² - (z – 1)")* 02 (2 – (a – 1)°) (-3z² + 8z – 3) O2 (2² - (2 –…

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Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00…

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Q: 1 (ii) (s+ 6)?

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Q: Find the average value of the function over the given interval. (Round your answer to four decimal…

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Q: Find the length s of the circular arc. S = 9. 5 A

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Q: Use the union rule to answer the question. If ​n(A)=8​, ​n(B)=9​, and ​n(A∩​B)=4​, what is ​n(A∪​B)?

A: Formula: n(A∪B) = n(A)+n(B)-n(A∩B)

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: Consider the following integral. Sketch its region of integration in the xy-plane. dy dz (a) Which…

A: Firstly , find the limit of 'x' and 'y' . i.e, In the given integral , find the limit of  'x' and…

Q: Find the center of mass (in cm) of the particles with the given masses located at the given points…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Solve the attached integral problem

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. |2x - 9| dx

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Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

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Q: What constant acceleration (in ft/s?) is required to increase the speed of a car from 30 mi/h to 58…

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